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Characters of the irreducible highest weight modules over the Virasoro and super-Virasoro algebras. (English) Zbl 0643.17010

Abstract analysis, Proc. 14th Winter Sch., Srnî/Czech. 1986, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 14, 25-42 (1987).
[For the entire collection see Zbl 0627.00012.]
This paper is concerned with the characters of representations of the Virasoro algebra, the Neveu-Schwarz superalgebra and the Ramond superalgebra. The achievement is a list of formulae covering all irreducible highest weight modules which are proper quotients of appropriate reducible Verma modules. The paper concludes with some remarks on current and future research, and has an extensive bibliography.

MSC:

17B68 Virasoro and related algebras
17B10 Representations of Lie algebras and Lie superalgebras, algebraic theory (weights)
17B81 Applications of Lie (super)algebras to physics, etc.

Citations:

Zbl 0627.00012
Full Text: EuDML